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Guest Message by DevFuse

# 1 = 2 revisited

Started by bonanova, Jan 21 2013 11:35 AM

33 replies to this topic

### #1

Posted 21 January 2013 - 11:35 AM

It is a beginner-level bit of mathematical magic to prove that 1=2.

This demonstration probably occurs multiple times in the history of this forum.

Its fallacy depends on embedding, and cleverly hiding somewhere in the "analysis," a division by zero.

Which of course is not permitted. So regarding this matter our world is still a safe abode.

Nonetheless, this equality still has a life for puzzle solvers.

By the application of a familiar proof, the addition of a single well-known mathematical symbol,

and without resorting to prohibited mathematical operations, 1=2 can still be shown to be true.

Have fun, and please use spoilers.

This demonstration probably occurs multiple times in the history of this forum.

Its fallacy depends on embedding, and cleverly hiding somewhere in the "analysis," a division by zero.

Which of course is not permitted. So regarding this matter our world is still a safe abode.

Nonetheless, this equality still has a life for puzzle solvers.

By the application of a familiar proof, the addition of a single well-known mathematical symbol,

and without resorting to prohibited mathematical operations, 1=2 can still be shown to be true.

Have fun, and please use spoilers.

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #2

Posted 21 January 2013 - 07:22 PM

Spoiler for Here's one

### #3

Posted 21 January 2013 - 08:17 PM

Spoiler for

### #4

Posted 22 January 2013 - 12:52 AM

Spoiler for a solid induction proof

### #5

Posted 22 January 2013 - 01:00 AM

Spoiler for a solid=solid induction=induction proof'=proof

Counter example to this proof =)

Spoiler for

### #6

Posted 22 January 2013 - 01:05 AM

Spoiler for a solid=solid induction=induction proof'=proof

Counter example to this proof =)

Spoiler for

Spoiler for but

### #7

Posted 22 January 2013 - 09:24 PM

Good thinking so far, but it's not as complicated as it looks.

You'll just have to go a bit more outside the box.

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #8

Posted 23 January 2013 - 05:55 AM

Spoiler for Here's one

Actually not bad.

But not the solution I had in mind.

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #9

Posted 23 January 2013 - 08:33 PM

Spoiler for answer the second

### #10

Posted 23 January 2013 - 09:01 PM

Spoiler for answer the third

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